Exact Traveling Wave Solutions of Nonlinear Evolution Equation via Enhanced (G'/G)-Expansion Method

Kamruzzaman Khan *

Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh.

M. Ali Akbar

Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh.

Harun-Or-Roshid .

Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh.

*Author to whom correspondence should be addressed.


Abstract

In this work, we employ an enhanced (G' / G) -expansion method to study the nonlinear evolution equations (NLEEs). Here we derive exact traveling wave solutions for the modified Burgers-KDV equation. The obtained results show that the applied equation reveals richness of explicit soliton and periodic solutions. It has been shown that the enhanced (G' / G) -expansion method is effective and can be used for many other NLEEs in mathematical physics.

Keywords: Enhanced (G' / G) -expansion method, Modified Burgers-KDV equation, Traveling waves, soliton, Exact solution, NLEEs


How to Cite

Khan, Kamruzzaman, M. Ali Akbar, and Harun-Or-Roshid . 2014. “Exact Traveling Wave Solutions of Nonlinear Evolution Equation via Enhanced (G’ G)-Expansion Method”. Journal of Advances in Mathematics and Computer Science 4 (10):1318-34. https://doi.org/10.9734/BJMCS/2014/6676.

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